{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# -*- coding: utf-8 -*-\n",
    "# @author: tongzi\n",
    "# @created date: 2019/10/10\n",
    "# @description: featur engineering\n",
    "# @last modification: 2019/10/10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import Libraries\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from scipy import stats\n",
    "%matplotlib inline\n",
    "sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_hello(N=1000, rseed=42):\n",
    "    # 画出“HELLO”文字形状的图像，并保存成PNG\n",
    "    fig, ax = plt.subplots(figsize=(4, 1))\n",
    "    fig.subplots_adjust(left=0, right=1, bottom=0, top=1)\n",
    "    ax.axis('off')\n",
    "    ax.text(0.5, 0.4, 'HELLO', va='center', ha='center', weight='bold', size=85)\n",
    "    fig.savefig('hello.png')\n",
    "    plt.close(fig)\n",
    "    # 打开这个PNG，并将一些随机点画进去\n",
    "    from matplotlib.image import imread\n",
    "    data = imread('hello.png')[::-1, :, 0].T\n",
    "    rng = np.random.RandomState(rseed)\n",
    "    X = rng.rand(4 * N, 2)\n",
    "    i, j = (X * data.shape).astype(int).T\n",
    "    mask = (data[i, j] < 1)\n",
    "    X = X[mask]\n",
    "    X[:, 0] *= (data.shape[0] / data.shape[1])\n",
    "    X = X[:N]\n",
    "    return X[np.argsort(X[:, 0])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0xb29a3c8>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb047208>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = make_hello(1000)\n",
    "colorize = dict(c=X[:, 0], cmap=plt.cm.get_cmap('rainbow', 5))\n",
    "plt.scatter(X[:, 0], X[:, 1], **colorize)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5.10.2多维度标度法  \n",
    "通过观察这个数据集，可以看到数据集中选中的 x 值和 y 值并不是对数据的最基本描述：\n",
    "即使放大、缩小或旋转数据，“HELLO”仍然会很明显。例如，如果用一个旋转矩阵来旋\n",
    "转数据，x 和 y 的值将会改变，但是数据形状基本还是一样的："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rotate(X ,angle):\n",
    "    theta = np.deg2rad(angle)\n",
    "    # 定义旋转矩阵\n",
    "    R = [[np.cos(theta), np.sin(theta)],\n",
    "         [-np.sin(theta), np.cos(theta)]]\n",
    "    return X @ R"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0xb5b7160>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb55b908>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X2 = rotate(X, 20) + 5 # 旋转20度并平移5\n",
    "plt.scatter(X2[:, 0], X2[:, 1], **colorize)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这说明 x 和 y 的值并不是数据间关系的必要基础特征。这个例子中真正的基础特征是每个\n",
    "点与数据集中其他点的距离。表示这种关系的常用方法是关系（距离）矩阵：对于 N 个\n",
    "点，构建一个 N × N 的矩阵，元素 (i , j ) 是点 i 和点 j 之间的距离。我们用 Scikit-Learn 中的 pairwise_distances 函数来计算原始数据的关系矩阵："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 1000)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import pairwise_distances\n",
    "D = pairwise_distances(X)\n",
    "print(D.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对于 N = 1000 个点，获得了一个 1000 × 1000 的矩阵。画出该矩阵:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0xb1655f8>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xae15da0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(D, zorder=2, cmap='Blues', interpolation='nearest')\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "如果用类似方法为已经做过旋转和平移变换的数据构建一个距离矩阵，将看到同样的\n",
    "结果："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "D2 = pairwise_distances(X2)\n",
    "np.allclose(D, D2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这个距离矩阵给出了一个数据集内部关系的表现形式，这种形式与数据集的旋转和投影无\n",
    "关。但距离矩阵的可视化效果却显得不够直观。上图丢失了我们之前在数据中看到的关\n",
    "于“HELLO”的所有视觉特征。  \n",
    "  \n",
    "**虽然从 (x, y) 坐标计算这个距离矩阵很简单，但是从距离矩阵转换回 x 坐标值和 y 坐标值\n",
    "却非常困难。这就是多维标度法可以解决的问题：它可以将一个数据集的距离矩阵还原成\n",
    "一个 D 维坐标来表示数据集。下面来看看多维标度法是如何还原距离矩阵的——MDS 模\n",
    "型将非相似性（dissimilarity）参数设置为 precomputed 来处理距离矩阵**:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.0406491825768243,\n",
       " 1.039356170800377,\n",
       " -2.067195438858048,\n",
       " 2.1379876778918288)"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb209da0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import MDS\n",
    "model = MDS(n_components=2, dissimilarity='precomputed', random_state=1)\n",
    "out = model.fit_transform(D)\n",
    "plt.scatter(out[:, 0], out[:, 1], **colorize)\n",
    "plt.axis('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "仅仅依靠描述数据点间关系的 N × N 距离矩阵，MDS 算法就可以为数据还原出一种可行\n",
    "的二维坐标。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5.10.3将MDS用于流形学习  \n",
    "既然距离矩阵可以从数据的任意维度进行计算，那么这种方法绝对非常实用。既然可以在\n",
    "一个二维平面中简单地旋转数据，那么也可以用以下函数将其投影到三维空间："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "def random_projection(X, dimension=3, rseed=42):\n",
    "    assert dimension >= X.shape[1]\n",
    "    rng = np.random.RandomState(rseed)\n",
    "    C = rng.randn(dimension, dimension)\n",
    "    # return the eigenvalues and eigenvectors of a Hermitian or symmetric  matrix\n",
    "    e, V = np.linalg.eigh(C @ C.T)\n",
    "    return X @ V[:X.shape[1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 3)\n"
     ]
    }
   ],
   "source": [
    "X3 = random_projection(X, 3)\n",
    "print(X3.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可视化X3："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xde27198>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "ax = plt.subplot(projection='3d') # 原文代码跑不通\n",
    "#ax = plt.axes(proejction='3d')\n",
    "ax.scatter3D(X3[:, 0], X3[:, 1], X3[:, 2], **colorize)\n",
    "ax.view_init(azim=70, elev=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "现在可以通过 MDS 评估器输入这个三维数据，计算距离矩阵，然后得出距离矩阵的最优二\n",
    "维嵌入结果。结果还原了原始数据的形状:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.0406491825768274,\n",
       " 1.0393561708003827,\n",
       " -2.067195438858048,\n",
       " 2.137987677891828)"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb2099b0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = MDS(n_components=2, random_state=1)\n",
    "out3 = model.fit_transform(X3)\n",
    "plt.scatter(out3[:, 0], out3[:, 1], **colorize)\n",
    "plt.axis('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "以上就是使用流形学习评估器希望达成的基本目标：给定一个高维嵌入数据，寻找数据的\n",
    "一个低维表示，并保留数据间的特定关系。在 MDS 的示例中，保留的数据是每对数据点\n",
    "之间的距离。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5.10.4非线性嵌入：当MDS失败时  \n",
    "前面介绍了线性嵌入模型，它包括将数据旋转、平移和缩放到一个高维空间的操作。但是\n",
    "当嵌入为非线性时，即超越简单的操作集合时，MDS 算法就会失效。现在看看下面这个\n",
    "将输入数据在三维空间中扭曲成“S”形状的示例："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_hello_s_curve(X):\n",
    "    t = (X[:, 0] - 2) * 0.75 * np.pi\n",
    "    x = np.sin(t)\n",
    "    y = X[:, 1]\n",
    "    z = np.sign(t) * (np.cos(t) - 1)\n",
    "    return np.vstack((x, y, z)).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "XS = make_hello_s_curve(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0xf744f28>"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xdf3f320>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "ax = plt.subplot(projection='3d')\n",
    "ax.scatter3D(XS[:, 0], XS[:, 1], XS[:, 2], **colorize)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "虽然数据点间基本的关系仍然存在，但是这次数据以非线性的方式进行了变换：它被包裹成了“S”形。  \n",
    "  \n",
    "如果尝试用一个简单的 MDS 算法来处理这个数据，就无法展示数据非线性嵌入的特征，进而导致我们丢失了这个嵌入式流形的内部基本关系特性："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0xf70edd8>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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trpyt5XRWxgEJBf++PeBre0ZZQCXL5IIlsOGnFm2bsv8ZbZSHvPqLaY58e/5eUCHEQV9aYrIwGvDntpC1Pblpnh2ggG/uCflzq8sJlTofna+zMIdT6qXlDex5LPvBHZ/tc7XTI8EtRAFpmsYH55n8eVWEE8tzfz4f2JiC25pDLtjgszedu64UCW8yk3KyqXxhwLueTWJEsntcIcTk/WqlyUSvZerARQ0mCydxEbTZh9dvCkiHOboZS06OWmLmvip7n46xhoB3PNkrwS1Ekak0dN41wfVdaw34zqpyOiYZEbtc+FlTblrfEt7Amqs9Fp8z1rqTY316Khac6fKutb0YeRyqJIQYv88sMolN4ApmZwCXPdNN9xS+nT/TnZuWt1ywBIwIXHRrio23Bex70iD0wO1RtG4w8Loh3gBeD6RahusbV1jVIW/+c5K6FTJ+W4hiVmbqfGSezpf3ji+NfeD5RMBUxqLlahKPhHcfw4Kj3+tx9HuHb4F37dJ46N8r2P246rsnZYhVqTjlMy5Hv0cuSgpRKj620MRVLt/YN/59JhvcGnBBzSR3HoOE9zhVLVJc9U/Y9GAPna8YzD/NJz6r0KUSQkzG9QstftDo0ZvjL8uKzA2Oc2FKfd62bZ9s2/ZDWSpLSahfrTj8dRLcQpQyTdP46pL8nOtvHUU22sS27f8EbiY3N30WQoiceuvsCFV5OE9vEba8twFvzlZBhBAi346vzP05as3ctLyndBs027aXAr9yHOeUsbb1/UCZptx1QAhRPB5oTnPOU93j3t4CJnoz+7gOH1oa46tHTnqK57DDVfJ2wbK9vUC3usiiYruXX77N5PpL3adn3Y+e4PYTDW6AZAjf2Z7i1IjPGVUT7+xoaBj+64FM0hFCzGhz8tCETSv4U1t21+GQ8BZCzGir8nQTYy/LXd9T+sxxHOcVYMz+biGEKFYNVq7W8j9IA86syu5MS2l5CyFmtFoj98tavK5W4w2zshu3Et5CiBlt/2SuQk7Am2bBTUeY6Jq0vIUQImue7hn9+alE7skVGt873MLIcnCDrG0ihJjB0qFizxi3l51Mp8phUTi9SufTC3XMHAQ3SHgLIWawL+/yyfKNtNCB39omi2O57diQbhMhxIyklOKHTdm/WBkCF270edtmj7tbc3cPS2l5CyFmpF/u98jVSvwtPjzQpXi6OyCl4LL67C8NIi1vIcSM9P2m0Z+fnYV0TIRw6/6QqawhNRIJbyHEjNQzRo/GGxuyc6HxpaSiJ9sd60h4CyFmoDY3oGWU8d2HRSBU2QnvKgNyce1SwlsIMWMopbhuu8vq5wPSI2yjAXceaRBmqavjrGotJ8MF5YKlEGLG+HGTz63No29TpcMPGxX3T/H2ZSZwfq3G5xfnJmYlvIUQM8aPGscO5M4Qvt809U7q0yrhZ8utKR9nJNJtIoSYEUKl2DXGbMpsWl0uk3SEEGLK7mkPczaue6glUXjf3NzGq3SbCCFmhCe6cjfbcVkUOoLMxc7jyjU+Nt9gfkTCWwghJuyVVMhvWkLcULGmDG4f5UKlDlNa4+TcGp1PLDRQQIWRm4WohpLwFkJMO9/Y4/P9fSFd40zkqV6erDGgPE+hfYCEtxBiWvnFfp+v7QnJXSfJYPMteM+c/F8+lPAWQkwbD3aEfGJH/oJ7RQw+sdCg3pLwFkKISfvfxoBk7m9JyVlVGm+t17l0lk5Ez293yQES3kKIaaHTV6zvyUNyA0uiWk6WeZ0IGecthCh5qVBx2/6AZJ76S1aV5ec8o5GWtxCipHX5IVdsCXiqe2qtbg24qBru7Rx99MnJFRpvbyhsqxuk5S2EKHFf2xNOObghc6PhI8t03lI3/PMa8PZ6uHW5UbB+7oGk5S2EKCn70iHf2heyvifE0jVeyeIVyn2e4n8Pj3B41Of7jSGdYaaFe0QMvr/MYE1F4VvcB0h4CyFKRpsX8o4tPi8kDzyS3QuUr6rItKg/utDkX+cr1naHLJ9dQUMqOcae+SfdJkKIkvH9xnBAcGfX4VF464C+7IiucVqVwVGVxdnGlfAWQpSMTb2Ta2mXaYd2M+h9/4/r8Joqjd+uNHNyx5tcKc6PFCGEGEbZKM3NU8qh0YdWDwIyoTzLgDXlOu+arRPV4efNIc2eYlFE45q5OtWmRkTL/7ok2SDhLYQoGRfV6vy5PThkXe46A75zuMnSmI5SCl+BNcyIkOMrpk9nw/SpiRBi2ntzvcH75upUDxj0MdeCTyzUWdp3i3ZN04YN7ulGWt5CiJLyX4tN3tkQcldbSESHK+p1aguwMFShSXgLIUrO4XGdjy6YeYE90MyuvRBClChpeQshJk2h2Gm10WL2UBnEONytx5A2YV5IeAshRtSm9/I8u9lQvYdew8VQOmag45shoKGAtO5nFv5Q8ABQ65dhp+ZyTGoBGtP/wmGhSHgLMcOpvv/ts7rwCJjnVbExto+Xos20mD2ZjSKZ/3gEYI6w7qqWWY2v1erlMfNl1sf3YCmd6jDOquR8lniz8lKfmULCW4gZZL+RoNNIYiiNLbH9NFoJUppLeKCB3NeCnnKDWYNuMw1AO0n2WB2ck1jJMrd+igcWB0h4C1GC0pqPq/lUhFF6dBdPC6gJ4v3dFEnN5dmyXTSZCUKV6eLoNHpJG8HYAZ2Dng5PD3mkfCuHuXXSlZIlkw5v27Z14PvAMUAauNpxnK3ZKpgQ4lC9mssjFVvZYbXh6323DOgL4ga/glXJeSxz67ij+nk6rNTIBypAfvYYLhti+1idmp//k09DU2l5vxGIOY5zqm3bpwD/A1yanWIJMbMoFD4hJjohig2xvWyLtNBlpIiGJqGm6NKTme6NoYM5+oK42ermIfMlHlIvFecgYA22R1okvLNkKuF9BnAvgOM4T9i2feJoG9fWlmGaxbOQ+WQ1NFQWuggFNZPrP5W6h4SsYze76aCFbgx0YliUE2EnbTTTPeLK1D244z+RRkFa1eMVRkvzPVSMZZ5KeFcBnQN+DmzbNh3HGbpmDADt7b1TOFVxaGiopLk5UehiFMxU69+pJ9lvJmjwK6gJR76Da5PZxdZoMyGKJe4s5nlVbIjto9NIEVcWRyfnE1eRCZ17v5Gg2epmnlvJrLBi2G169DQ9mkuIIqYsasJ4/3NaA9yVWo+r+Zzcs4yFQQ0Ae8wOnFgTrh5Q48c5NrmA2JCyteu93FmzjqThTajMJWuU/vSKZJTm7tL6Gyr03/1IHxxTCe8uYOBR9ZGCW0xPac3jnooXabQSmEpnrl/FPK+apkg3ASH1fjnHJRdhKp0HKrewK9JGWg+wQoPFbi2vTdhYDP429kTZdtbH9/T3574Y30skNDIX2vpsjjVxdmI5i8cx9Cylefyt0mGv1YGvh1ihwSKvlnO6Dp67S0/xSMVWdkfaCTQFKpM9871qTus+jMfKtrOHTohljnlXZD0VQYRVyXk8W74L70DfcxReibRycdcqqvqCPyCcGcGtIBIaLHZn0Wkmaba6D9nECnWO7V1YgMJNT1MJ70eB1wO/6evzfiE7RRKFpFAk9BSG0knoKbbFWvAJmetVUcfBFutT8VdYW76zv4XlErLT7GBntKP/sV3RdnZHOqjx42yNNffv6+kB22ItGOicm1jZ//g+s5N1ZbszAXqgPBqDghug20jzVPkrLOqoHXPkwkMVL7Ez2jbo3C9HW4hUGLy220ah+FvlZhojXQd30jKNxz2RTv5UvYGkPiR4Neg2XZ4u30E4pG+5zerl6bKdnNNtA7A52lSawR2CpXQ8Y8h91EdoVcdDk3e3nYqORpeezPxOrUT/yJayIMIFXSupC8vzUfoZYSrhfQdwnm3bj5F5ia7MTpFErikUzUYCTw+IBhab443stTrp0pO4+pA/1r4/1A1qH6/QyjnYJHVvUHAPt/0BzVY37frwXWY7rXZSmkdMWQBsjTYPCu7R7De7aTK6mBtUj7hNr+ayO9I+7HO7Ix34BOyKtNNodQ27DTBq8A4N7oNlO/gVu/3AJJcSoik4o+dwlqdn83DFVvbEOkjiUe3HMUKNNqt30OtshBpnJY5A73uwKozzps5j2WG10W72MserYr4/8uskJmfS4e04Tgi8P4tlEXmw1+zkifKXabISqIlMyNBgGy1Ul8VpNhMTuijmD/1A6JMyPHp1l1iQCe9wnMF9oDy+HmZumTKCHj2Nqw+/QUrzSOs+bUZv1i/wDcz0qCruqRRz3Eqqghj7Il2kNI/qIM6K1GyOTi0A4PzEkZTHouxoa6UmKMNAY2O0kc2xRpK6R1UQ49yulZQxuJ9fQ2OpV8dSr64Q1ZoRivudJaak0ezi+fguWsweDKUz169kt9VOwhwwemGCwbXP6sTTRknMYZihjj/06zdQ5ceoCg5eFFzo1rIhtm9cZZrllTHfqxl1m9qgjCo/Rpd56HjnmiBOPIxQ71egqUz3zISFDDskb45f1f/v1cn5bIjto3cyXSeK/v53NdlRJAc+Dwfsq4cah6XrWOTVYqfnYKDjEZDWfcrCSH8L+oAyItQHB7vMVqXnsSo9bxKFEdkk4T1Nteo93F+1iYSR7n+s3Zr6iB+lKeZ51bRY4+8OmO9Xs0tvHxyQCpanZ2MOSL9lbh1HpBsG9Y9D5mt5oB9slUdDk2OTCw8JmaFMDFakZvNM+c5B59aVhp2ag47GYq+WBW4Nu6Mdwx6j1i/LdPsMDWkFS9OzaIx0kTIOXqef41Zycs/S/p/jKsJrEjaPlb9Mu5lp5euhRiwwSZreqB8ai9I1vD6xBoVifXQPz5fvokf3xgzxSj/KHLeKMiwWp2tJ6QE7I62k9YBZfhnHJBdSNmREjIWBFZb+UN6ZRMK7yIUoOoxeosqkPIyOe7/1ZXsGBXe2zPYqOaVnGRtj+wYFar8B3TCagiPSDbw2YfNCbA9bY81062nKwyjL0vUcn1w0aFcNjXMTK5nnVbEn0kEIzPUqWZquY2N8H11GinhosTI1l3nj7EM9KbmEiDLZFmumV3cpD6LYqTn9LUcNjfMTK3lEbWOnlRkNA5mREwu9Wk7rWUan3sv9tZtJqUxIm0rnmN4FnJw8jA69l42xRtK6T51fzqrUvEOWRF3izWJRRy07rFZcPWBZuh4Lg11WG8/Fd7PfSuBrAWGmQFihwVK3jtcmVvSX8Zj0Qo5JL6TFSPBIxTb2WwkCTaEpKA8i1Phx4ipCbVDGmtQCIkO6a1a4s8f1+xKlQ1NqAv2MU9DcnMjPiXIoH+M9e/Q0ac2nOojzbGwnz5bv6r+IZ4QaJ/Qu4sTU0jGPc2f1OvZGOsfcbiLmUcUFLUdRpiK06b3cXb2OngHdAVHf4MLEUeyKdhBoIYvcWhZ5g0eEhKgxW8yF4hHgaQEaYCpj0DDGXL72ruajKdgVaSdhpFno1lAXDD8W/YB9Zif7zQRz/Erm5vhiYKHHORdaoevf0FA57B+MtLyLQJvew/2Vm2k3ew6u7nagBTvgZQsMxVMVO4kokzXp0cfLTvlC2YHzh1ARRlmRns155StJqExrflZYxrvbT8UjINDC/hEjAAt6a0c8bLEGN/R1Haj8dx0caCUvcxvGvc88v3rc3z7E9CThXWAvRfbz90qHcGgXxCgrvq0t28nR6dEXuj881cCOSNshIzgq/SgNfmXmqzohFWGUWGCiNJUJ4cAkriLM9SqpUnFm+eX9sxlj5RESDO6KKVTgCTHTSXgXUEDIIxVbDw3uMaQNn7TmD2rtDrXCnU1nT5KN8X30GC4oqPPLOa3nMBZ5swgICVGHzHAUQpQGCe8CcmJNg0YqjJceauNq7Z6UXMKa1AK2RZqJhRZLvbr+bgsDXWJbiBIm4V1AKW1yS8EsdevGfZPXqDI5SsbkCjHtFOOqvzPG0nQd5khzrIejMpNTXtu3boYQYuaSlncBzQrLWJGazcZ44+ALlANmxVmhQSQ0qAninNC7iIW+3MRVCCHhXXBn9SynJoizPdpKl5GiLIhwYs9i5gSVtJg91ARlVIWxQhdTCFFkJLzHI/RBDb+40lRpaBybWsSxqUWHPLfYG/+MSiHEzDIzw1uFRNrWobuduLWrCWP1w26mp1op33U3Vvd2UAHsWIpZfxZ+1fL8llcIIYaY9uGteQnijf/ASLcRmuV4ZUurNNLOAAAZp0lEQVQoa3oQM7knM4Fw732kZh1Lz9LLQNPR3ASV227B7G1ED3rQBt5ZsOVFqlpe7J/4qIDArCE1/zWkZp8O+rT/dQohisS0Thujdw9VW2/BTO3vf0zxKBoHu0D0IEm8+XGMVDN+tIF4y1PooywSPXBstAbofgfWzjuIdG6ma/lVEuBCiLyY1kMFy3ffOyi4gUHBffAxiCa2Ut7y+KjBPZpo5yZiTf+c1L5CCDFR0ze8Qx+ze0deTxnpfjmv5xNCzFzTN7zRsn57q7Go6fzrFEIUldLtoFUhsf2PEenaAirEq1hCcu7ZoPct1qQbePEFGN7IN5fNanEAT0ahCCHypDTDWykqt91GrO25/oeiHS8SaX2WzqM+AkaU+L6/Y/XszE9xgHT1alKzT83L+YQQoiTDO9L+AtG25w99PLmPWev/Hz1zX0vZnvvQQ3eYvbMrRKN3ztkkF78BtOK90YAQYnopzfDu2jJ4/PUAhtdJ+d57cx7cCp105eEkVlwDRmTsHYQQIotKLrz1dDuMEcxGkMzZ+UMgXXcCvfPOJSyTpVaFEIVRMuFtdr1E+Z57sbp3gAoG3qQ8r9rWfBo1wnR6IYTIl5IIb83tpOrlX2C47ePeJ5vhrgCFhn7mZ1HpkW+uK4QQ+VIS4R1venhCwQ3ZDe7uuReRWnQ+DVVV0JzI0pGFEGLySiK8dbcz7+c80NruWvZOvPrj835+IYQYTUmEdxipye/5gOTcc+hdeAnoMmtSCFF8ij+8VUgQqSHQ4xhh7kaR9J8O6Fx2JX79MTk/lxBCTFZRh7fmdlKz8dsYblteRpYooKfhLAluIUTRK+rwrtn0HUy3LefnUUBolNG25tNgleX8fEIIMVVFG95GYidGujWn51CAF1tI1/J3o+INOT2XEEJkU9GGd6Rr47i6Sg5Mkp9Mt0qox+hcc90k9hRCiMIq2vBWVvW4tptsX7gCehtOm+TeQghRWEU7Di5VfxKBlZshggoItSipJW/IyfGFECLXija80U0Sh70NP5Ld6egKCIxq2k68IavHFUKIfCre8Aa8mpW0r/kUvQ2no7I0WDBVcwztJ3wetKKuuhBCjKr4E0w36TnsMnrmn09gxPsfHn4179H5ZiU9h70le2UTQogCmdIFS9u23wRc5jjOFVkqz4iSCy8iNft0Ym3PYnVsJtq1ecx9DqwsqNDxyhfTufL9YMRyXVQhhMi5SYe3bdvfBi4ADr0fWY6oSBXJuWcTaXlmzG0DPU7PggsJy+bily1AWRV5KKEQQuTHVFrejwF3AtdmqSzjEmldh9W7a9RtQj1Ox+rrCGN1eSqVEELk15jhbdv2VcBHhzx8peM4v7Zt++zxnqi2tgzTNCZYvGFs/vuYm+hLXk3doqVTP9cwGhoqc3LcUjGT6y91n7mKsf5jhrfjOD8GfjzVE7W39071EADM6m1ntI8AL1JPR/2FOblpQkNDJc0z+GYMM7n+UveZWXcofP1H+uAo/tEmQ4RjXXA0IqAV4u6WQgiRPyUX3r1zzx5jmKAEtxBi+pvSUEHHcR4CHspKScbJnXM6fuNDWOnmYZ8P5M7uQogZoORa3gDdy64gHKboCnCrV+a/QEIIkWclF956qpnynXeiEQ56XAGpuhNJN5xcmIIJIUQeFe2SsMNSIVWbf4jlthzylFe+lO5lb5eLlUKIGaGkWt6VW28dNrgBjJ4dWO0v5rlEQghRGCUT3nqykUj7CyM+b6Co3vpjqtd9Bc2buWNShRAzQ8mEd7RjEzrBqNtoQCS9j8otP81PoYQQokBKps87iM7qXyVwLJGe7WheAmUV35RWIcTUaPv3E7v9Z2jpNO55F+Cf+KpCF6kgSia83dqjCcwqTL9rzG01FHqylUDCW4hpJXrrzyi/4QsYrZlrX/Eb/5f0pW+i+9vfB71kOhKyonRqq+l0L3nzuG7CoICgfG6uSySEyCPzT3dR+R8f6Q9uAD2VJPbrX1D1hosgnS5g6fKvdMIb8OqOJYjNGde2VdtuQ/OTOS6RECIftH17qb7m3WgqPPQ5IPrU41R+9EP5L1gBlVR4A3Qc+e8ERtmo22hAtGMDFTt+n59CCSFyJ5Wi5qJz0IPRByxE7r8PfeeOPBWq8EouvJVVTvvR1+OPowVudW5GC1J5KJUQIid8n5pXn4K5d8+Ym+qdHZjPPJ2HQhWHkgtvABWppuOojxBokVG30/1urM6x73UphChCSlG7xsZ65eVxbR5WVOCvXpPjQhWPkgxvAKXpoI1efA2o2nob5a/8FtRk7jcvhCiIIKDmmJUYLcOvHjocFY1ivrQlh4UqLiUb3kayESMcu0tEIyC+/zEibc/loVRCiClLJqlb1IDVuG9Cq/Mbra1UfuRfsR64P2dFKyYlG95hZNaYFy4P0FBEOjbkuERCiCnr6KBuyRx035/U7npHO/FbZsYM65INbxWpxKu2x729Fk7uzSCEyI/yD15D/YrFUw4l/ZXtWSlPsSuZGZbD6V76VlAhkc7N6GF61OnzZsdmtN5WVFldPosohBhLGFJ92glYL2/Lyk0MVd3M+Bsv2ZY3gDLjJJZfSfuq/yBZe8yoL7yp0tS9+N+YHU7eyieEGF30xu9SN7cme8FtGKQvfl0WjlT8Sjq8Dwjj9Xg1R425nQZUv3QzBDNrGq0QRScMiX/mk1R+7lPoZOe24WG8jN4PfpjUVddm4WjFr6S7TQZK15+It/+fWD27Rt1OVx41m79HqEXQwjR66BJEakjXn0S6/sQ8lVaIGcp1id/4XeI33YjevH9SoT1c92gwZy6dt/yS4PgTslDI0jBtwhvNoGvZO6jYeSeRzk2jvimsnp2DfjZTTViJ7WhBitScM3JbTiFmKOPJJ6j6wFWYu0dvYI0lqG8gfdnbMF9Yh+b7BEeuovcD/0a4dGl2Cloipk94A2F8Dl32tVRt/C7R7m0T2ldXLrHmJ0jNPm3MyT9CiPGLffmLlH/3m2iel5XuEaO1BVVbS9cf/pSFo5WuaZlSXUd+kECLjWv52IHM3t1UbL0Fs3vmLG4jRE4ohfXA35i1dC4V3/gqepaCG0BTivjtt0BPT5aOWJqmVcu7n2bQduINlL/0U2KdG9FUZjUybYw414B4+zpi7S/iVtukq4/ESLfhVy7BrZ05ayYIMRXRX9xGxfUfQ0unsxbYQxk7d2A9/BDeRZfk6AzFb3qGN4Cm0bPivfQAqICynXdR3vSP8e1KQLRzI5HOjWiAagIvNgdO/hAgd+cRYiTWA3+j8qMfQsvxWkJK0wgbZuf0HMVuWnabHEIzSM4/H7di6cR2G/DfSKoJ1t+a7ZIJUfK01lashx9C37eXsq98KefBDZlFqIITZvbosOnb8h5CWeV02h8k3vQwZu8eCHyinRvRxrgj/SDtL2H07CYoX5i7ggpRKjyPqne8FeuJx9CTSULDQBvjhgnZEixYBFquOmVKw4wJbwCMCMn55/b/qDk3Ee3cOKFDRFqeJUi3ortdpGetRkVqs11KIYqf71Nzxquwth8c1TXWnW6yyTv3vLydq1jNrPAeIrH0LWgv/xIrsXXMi5kHlDc9BE0hGlC28w6C2Gy67PejojU5LasQxUDbtZOKT/4H1vr1GPvGvrtNNgyclKMMA/fs19Lzyc/l5dzFbEaHt4rOonPlBzETW4k1PUoksR3D7xx1H42DN0A1CDFSjcxa93l6Fl5CakCrXohpJZWi+nXnY61/PmcjSEaSvvBi/JNORuvowD/xJNwLL5nxXSYww8MbAE3Dr1pOd9VyzO4d1Gz81rhb4QfoKMp334NXbROUL8pRQYXIozCEdBpiMQCq3vYmIuufz9npRloRNKyuIfHDn0I8nrNzlyoJ7wH8iiW41UdOuB8cQCcg1vI0PRLeokTpO3ZQ9t1vYN1/L3pnJ2gawQobLjgf66knc3JOBfjHHIu36mjiv/sNmntw0biwvJyu790kwT0CCe8hupa/h/KddxJrWYsWugAodPQB3SUjCtwcl06I7NPa2ij/+P8l+pe70d3B72H9uWfh+efQczT8L33uBSRu/zXoOt55FxC98/do7e2Ehy2j9+prCe0jc3Le6UDCeyg9Qs/St9Kz5DIgBM2gbPe9lO+9d8xd/QmOIxeiELT2NtB1cF3KvvwlYr/9FXoqOfIOSo16o5PRnhtNWFNL8rrrM2UB3EvegHvJGyZxpJlJwnskmgYYAPTOPxezZwfRzk0jbu7GF5BuOCm7ZVCKsh1/JNbyOHroZr5iWrNIrLiSUMaai/HyPGI/upH4D7+Hvr8ZLTh4S8Dxhu5o2ynTRJvgPSfDSJTu/74B//iZPdFmKiS8x0M36VpxDQ3uRnr3bMDs3YPhtqGFaZQeIV1p07PsbaAZWT1t1eYbiSS2DJ7p6bUya8PXUeiEVjVBrJ7eBRfiVx4mqyGKg1Ipon++K/PfO35H9OGHcnaqsL4BvXHfsM8FFRUY3d2HFu+Kd5K+/IqclWkmkPAeL02HhafSE12dl9PpyeZBwT2oKGSGLOpeO6bXTmTzSyh00HSUEaN73gW4887MSzlF8Yn+5peUfevrmFtfysv5wnnzCHu60ROJQY97a46l5/pPUfGp6zFfeRkApeu4Z55Fz2e/kJeyTWcS3kUq2vrc+L7Srt+LdutatFfaQWlwWA1Vn23Bvf938KsNGHv3ENbXoyqrSL/2HNJXvR/KynJdfJFD0dt+RvQvd6P19hIsXkzqPVfjn3ASKEX09luo+PTH0ZO9eStPuGgJ3e96L/Ef/xBzw4uoeBneKafS/YUbCFfYdJx6GrFbforW1op/7HG4r7tUxmlngabysIgMQHNzIj8nyqGGhkqamxNjb5gFsX0PUbnrztE32tQEn7oX3EOnJY90EUkBYWUlKhYnWLYM93VvJHX5FWidnah58yASGfF0+ax/sSlE3bXmZmI/vwUtmcQ97wJQisoPXYux/eVBr20wZy6Jr32T+C0/IfLg39HCcYyMyhJlGHR9+/u4b/0/EAQYW19CVVURzpuftzLkWqHf9w0NlcN+0k0qvG3brgZuB6qACPAxx3EeH20fCe8JCtLUPfNx9NEmDH30j/BS65RPNfQMYTwOFZV0f/Q6gmNPQE8n8V51Kg3zZ0l450n057dR/uX/xmhqBEBFoijLRB/hBgT+/AWYe7M7XX1oA0ABKhpDT6cACMsrSF1+BT03fG1at6SLNbwn223yMeDvjuN8y7ZtG/glcPxkCyeGYUTpmXc+FfvuG7n7ZG923lBDj28kk5BMUvXJ/+x/3p+/AFYdRfmc+ehtbbjnX4i/eg3WPx7EP/Io/JNPzfwBl5dP6z/kMfX2ovkeqqp60ofQmpoov+ELGPubDj7mpgdNYBnK2Ld30ucbjjIMUm95K8TKiL+8hbQVxT3nPNIXv57Yr36O5nmkL349wZpjsnpeMX6TbXnXAGnHcZK2ba8CfuQ4zmmj7eP7gTLN7I7GmBG6m+Cpb0Cy5dDnrvg5dI38B10Qup6ZWj2QpmVmyR17LPzsZ7B8OSSTcNddmenXl1wCZglefnnwQXjqqUx9jjsOrr8eHnkEOjsz9aqshFWr4ItfhOMHtG1cN1NffcDooPZ2uPVW2LQJ1q2DJ57If30Aqqpg9Wq4+mp4z3tm9gdx8Zhct4lt21cBHx3y8JWO4zxt2/Zc4B7gI47jjHqbGuk2yYIgRc3Gb2Mm92Vezc/dB8/kZ2W3bFFAGIuju+n+vlllmngrVtJ16y/Q/AB0HX3/fvzVRx+8uKoUhrMZUimCo9eAYYBSmf/rOsbGDZgbXsA7+VTCxUv6z6e1tBC9526Cuga88y6AICD2i9vQ9+3FP2oV7qVvHhyiwzCff5ban/8Ud/MW0CCsqsbc/jLGjlfQ3Mz4exWLoadSw9fZsui5+gNYWzZhrnsOracHVVePe/qZ+EetwnrkYaxnnsZob8vGr/jQ83PoX/+Bx4KG2aTe/Bbc112KsiyC4044JLAL/r4vsELXP6t93gC2bR8N/Aq4znGce8baXsI7S1RItGUt0bbn0NtbMN5zI3pbV2HLlCUD3yAa4C9ZSuqyy/GOO5Hyb30d69m1EASElVWoqio018sETRigJ7rQ0mnCeBlhfT3ByiPR2tsxNryAkUz2H1tFIv1TwJWm4Z1yGl0330rZ128g8vf70TwP/6jVpN75btyLX4/56D+p/OBVmPuGH8c8kboVqg3rHncCemsL5s4dKMPAP3w5vf/2ETSlcM85H9XQMOr+RfG+L6BC1z/bFyyPAv4AXO44zrrx7CPhnRtaVydl//UponfdiZZOo2IxtDDsH3NbyNDIhgNvmlzWIYxE0Fx30DnCeJz0+RdhbnGwNm3I4dlzS2kabY88SbhwMdbTTxLMnUdor5zQMYrxfZ9Pha5/tsP7j8AxwCt9D3U6jnPpaPtIeOeR5xH9/W/QGxsJZ80ieufvMZ9di97bW9JBLibOPeEkOu/5+5SOUTLv+xwpdP2z3m0yURLeBRYEmI//k8j996H1JtG6Eyjfw2huRqERfewRCfZpJDQM3PMuJHHjzZkRQFNQ0u/7LCh0/bM9VFCUGsPAP+Ms/DPOGvZp78bvUvHF/0LzvP7HSr3LpdSNupKfrvdf8A0rKgmWLiWcPQcViRCsPJLUu68iXCCLl01nEt4CgNQH/g3v9FcT++XtaF2dBCtWkr7wYiqu+zCRZ54G3z8kSEIOrLNykAT+8Mbze1GGQVheDvEyfHsl3hlnYezZjflc5kKtisYJjjiccM48Um/9P0SefBytq5P06y4lXHpYPqohioh0m0xAob8+FYzrEr37DqoevJ/0rr3ovd0Eyw4n+d73ES5YSOxHP8DYu5tw9ly07m7iv7yt0CUuOu5Jp+CddjrGhhex1j6J3tGBRqYFHVZV4557Psn3/yvBmmMLXdRDzNj3fZ9C11+6TcTkRSKk/+VyeP/VdA3zJu79/JcO/hAEhNXVRO/4HUZT4+ARHAxuqQ8dSaIAdJ0wXgaahtF98FwKUIaJMg2M9KETk0LTRB9hTWkFBHPngZvGbJv6WOqhQxqHCsrLoXYWxu5dhOUVeKedTuJr30LNX9C3QUDkj3dg7NmNd/oZsqa1mBRpeU9AoT+BC21C9U8mMZxNRO++C721mXDuPJLXfADzqSeI3/wDiJfRc9316K1tWE88iqqpIfWuK1GVVQBoiS5iN/8QY9Mm9NZmet/7PvxLXg/pNLFbf4K57nlQISpeTrh4CcGC+VR84XODpokHNTW4516I+4ZLcS+4GOtvf6Xi09djbu9bnjQSIZg9ByIRlBWBsnLMTS+iDZhsE5om4Zy5mGFAoBTeCSfR8x+fRHPTWI88TPzmHww+57LDSXzt2/jHn4C17jmC+QsJly6d+i+/gOR9X5wtbwnvCSj0i1hoxV5//eVtxH9yE3pTI+H8BSSvunbQbEsAenuJ/eI2tI52vLNfg3/iyYOejvz5LqJ/+B16WyvB0qUk3/s+gqOPoaE6mqn70FUXlcJ46knMDS/iH3c8wbHHTbsp5cX+uudaoesv4Z0FhX4RC20m11/qPjPrDoWv/0jhLffNEkKIEiThLYQQJUjCWwghSpCEtxBClCAJbyGEKEES3kIIUYLyNlRQCCFE9kjLWwghSpCEtxBClCAJbyGEKEES3kIIUYIkvIUQogRJeAshRAmS8BZCiBIkd9IZB9u23wRc5jjOFcM8dw1wLeADX3Qc50/5Ll8u2LYdB24HZgMJ4N2O4zQP2eYuoA7wgKTjOBflvaBZZtu2DnwfOAZIA1c7jrN1wPPT8vWGcdX9O8DpZN4PAJc6jtOZ94LmkG3bJwNfcRzn7CGPvx74LJnX/SeO4/yoAMUbRFreY7Bt+9vADQzzu7Jtey7w72Te0BcAN9i2Hc1vCXPmA8ALjuOcCdwKfHqYbY4AznAc5+zpENx93gjEHMc5Ffg48D8HnpjmrzeMUvc+xwMX9L3eZ0/D4P5P4GYgNuRxC/gmcD5wFvC+vvdCQUl4j+0xMkE2nFcBjzqOk+57I28F1uStZLl1BnBv37/vAc4d+KRt23OAGuBu27b/adv26/Jcvlzpr7fjOE8AA28wOZ1fbxil7n2t8uXATbZtP2rb9nsLU8Sc2ga8eZjHjwS2Oo7T7jiOC/wTODOvJRuGdJv0sW37KuCjQx6+0nGcX9u2ffYIu1UBA1sfCaA6B8XLqRHq3sTBug1XrwiZltm3gVnAo7ZtP+U4zv5cljUPhr6mgW3bpuM4/jDPleTrPYrR6l4OfBf4BmAAD9q2vdZxnPUFKGdOOI7ze9u2lw7zVFG+7hLefRzH+THw4wnu1gVUDvi5EujIWqHyZLi627b9Bw7Wbbh6NQI/6PvD3m/b9nOADZR6eA99TfW+Og73XEm+3qMYre69wLcdx+kFsG37ATJ949MmvEdRlK+7dJtMzVPAmbZtx2zbribz9erFApcpWx4FLu7790XAI0OePxf4DYBt2xXAamBT3kqXO/31tm37FOCFAc9N59cbRq/7CuCftm0bfX3AZwDP5r+IBbEJWG7b9izbtiPAq4HHC1wmaXlPhm3bHyPTB3ZX3xX4R8h8EH7KcZxUYUuXNTcCt9i2/U/ABa4AsG37q8DvHMe5x7btC2zbfgIIgU86jtNSuOJmzR3AebZtPwZowJUz5PWGsev+c+AJMqOLbnUcZ0MBy5pztm1fAVQ4jnNT3+/hPjKv+08cx9lT2NLJkrBCCFGSpNtECCFKkIS3EEKUIAlvIYQoQRLeQghRgiS8hRCiBEl4CyFECZLwFkKIEvT/Abiz+/S43oWNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xde4d8d0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = MDS(n_components=2, random_state=2)\n",
    "outS = model.fit_transform(XS)\n",
    "plt.scatter(outS[:, 0], outS[:, 1], **colorize)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "即使是最优的二维线性嵌入也不能破解 S 曲线的谜题，而且还丢失了原始数据的 y 轴信息。"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5.10.5非线性流形：局部线性嵌入  \n",
    "先来回顾一下问题的源头：MDS 算法构建嵌入时，总是期望保留相距很远的数据点之间的距离。但是如果修改算法，让它只保留比较接近的点之间的距离呢？嵌入的结果可能会与我们的期望更接近：  \n",
    "![image.png](attachment:image.png)  \n",
    "其中每一条细小的线都表示在嵌入时会保留的距离。左图是用 MDS 算法生成的嵌入模型，它会试图保留数据集中每对数据点间的距离；右图是用流形学习算法局部线性嵌入（LLE）生成的嵌入模型，该方法不保留所有的距离，而是仅保留邻节点间的距离——本例选择与每个点最近的 100 个邻节点。  \n",
    "  \n",
    "看看左图，就能够明白为什么 MDS 算法会失效了：显然不可能在展开数据的同时，保证每条线段的长度完全不变。相比之下，右图的情况就更乐观一些。我们可以想象着通过某种方式将卷曲的数据展开，并且线段的长度基本保持不变。这就是 LLE 算法的工作原理，它通过对成本函数的全局优化来反映这个逻辑。  \n",
    "  \n",
    "LLE 有好几种表现形式，这里用 modified LLE 算法来还原嵌入的二维流形。通常情况下，modified LLE 的效果比用其他算法还原实现定义好的流形数据的效果好，它几乎不会造成扭曲："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0xddef588>"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xf7c9438>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import LocallyLinearEmbedding\n",
    "model = LocallyLinearEmbedding(n_neighbors=100, n_components=2, \n",
    "                               method='modified', eigen_solver='dense')\n",
    "outL = model.fit_transform(XS)\n",
    "plt.scatter(outL[:, 0], outL[:, 1], **colorize)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5.10.6关于流形方法的思考  \n",
    "以下是流形学习的一些特殊挑战，并将这些挑战与 PCA 算法进行了比较：  \n",
    "• 在流形学习中，并没有好的框架来处理缺失值。相比之下，PCA 算法中有一个用于处理缺失值的迭代方法。  \n",
    "• 在流形学习中，数据中噪音的出现将造成流形“短路”，并且严重影响嵌入结果。相比之下，PCA 可以自然地从最重要的成分中滤除噪音。  \n",
    "• 流形嵌入的结果通常高度依赖于所选取的邻节点的个数，并且通常没有确定的定量方式来选择最优的邻节点个数。相比之下，PCA 算法中并不存在这样的问题。  \n",
    "• 在流形学习中，全局最优的输出维度数很难确定。相比之下，PCA 可以基于解释方差来确定输出的维度数。  \n",
    "• 在流形学习中，嵌入维度的含义并不总是很清楚；而在 PCA 算法中，主成分有非常明确的含义。  \n",
    "• 在流形学习中，流形方法的计算复杂度为 $O[N^2]$ 或 $O[N^3]$。而 PCA 可以选择随机方法，通常速度更快（详情请参见 megaman 程序包中的一些具有可扩展能力的流形学习实现）。   \n",
    "  \n",
    "虽然以上列举的都是流形学习相比于 PCA 算法的缺点，但是流形学习还有一个明显的优点，那就是它具有保留数据中的非线性关系的能力。正因为这个原因，我通常的做法是：先用 PCA 探索数据的线性特征，再用流形方法探索数据的非线性特征。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "除了 Isomap 和 LLE，Scikit-Learn 还实现了其他几个常见的流形学习方法,Scikit-Learn 文档有一篇非常精彩的流形学习算法对比文章（http://scikit-learn.org/stable/modules/manifold.html）。  \n",
    "  \n",
    "作者的建议：  \n",
    "LLE 在 sklearn.manifold.LocallyLinearEmbedding 中实现。它对于简单问题，例如前面介绍过的 S 曲线、局部线性嵌入（LLE）及其变体（特别是 modified LLE）的学习效果非常好。  \n",
    "• Isomap 在 sklearn.manifold.Isomap 中实现。虽然 LLE 通常对现实世界的高维数据源的学习效果比较差，但是 Isomap 算法往往会获得比较好的嵌入效果。  \n",
    "• t-分布邻域嵌入算法（t-distributed stochastic neighbor embedding，t-SNE）在 sklearn.manifold.TSNE 中实现。将它用于高度聚类的数据效果比较好，但是该方法比其他方法学习速度慢。  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5.10.7用Isomap处理人类数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import fetch_lfw_people"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Downloading LFW metadata: https://ndownloader.figshare.com/files/5976012\n",
      "Downloading LFW metadata: https://ndownloader.figshare.com/files/5976009\n",
      "Downloading LFW metadata: https://ndownloader.figshare.com/files/5976006\n",
      "Downloading LFW data (~200MB): https://ndownloader.figshare.com/files/5976015\n"
     ]
    }
   ],
   "source": [
    "# can't download dataset, network connection problem\n",
    "faces = fetch_lfw_people(min_faces_per_person=30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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